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Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
BuyFindarrow_forward

Multivariable Calculus

8th Edition
James Stewart
ISBN: 9781305266643
Textbook Problem

Determine whether the statement is true or false. If it is true, explain why. If it is false, explain why or give an example that disproves the statement.

1. If F is a vector field, then div F is a vector field.

To determine

Whether the statement “If F is a vector field, then div F is a vector field” is true or false.

Explanation

Consider F is a three-dimensional vector field that is F(x,y,z)=F1i+F2j+F3k .

The divF(F) is calculated as follows,

F=(xi+yj+zk)

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Chapter 16 Solutions

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